What is the answer to |9-2x|=3x+10 ?

The answer to |9-2x|=3x+10 is x=-1/5

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|9-2x|=3x+10

∣ 9 - 2 x ∣ = 3 x + 10

x = - \frac{1}{5}

Decimal Notation

x = - 0.2

Solution steps

∣ 9 - 2 x ∣ = 3 x + 10

Find positive and negative intervals

x \leq \frac{9}{2}, x > \frac{9}{2}

Solve the inequality for each interval

x = - \frac{1}{5} or No Solution

x = - \frac{1}{5}

\frac{p}{2} + 7 = 11

∣ 4 x + 3 ∣ - 3 = 0

∣ x + 12 ∣ = 9

∣ - 9 x + 4 ∣ = 86

- 5 ∣ x + 9 ∣ - 1 = 14